Homework help please!

Question:

The point is on the ellipse with equation . The line through parallel to the -axis meets the at . The point is on the line produced so that . Find, in cartesian form, an equation of the locus of , as varies.

The point is on the ellipse with equation . The line through parallel to the -axis meets the at . The point is on the line produced so that . Find, in cartesian form, an equation of the locus of , as varies.